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Potential Surprise Theory as a Practical and Theoretical Cornerstone of the Uncertainty-Based Perspective on Risk. [PDF]
Derbyshire J.
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Meta AI literacy scale: Further validation and development of a short version. [PDF]
Koch MJ +3 more
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A new distance between rankings. [PDF]
Dezert J, Shekhovtsov A, Sałabun W.
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Portfolio Model Considering Normal Uncertain Preference Relations of Investors. [PDF]
Zhou Y, Yan C, Wang X.
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Measuring the effects of differentially intense information on political opinions. [PDF]
Zucca C.
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Numerical Analysis of BIMs for Stochastic SIR and SIS Models with Variable Contact Diffusion Rates. [PDF]
Schurz H, Tosun K.
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Unions and the axiom of choice
Mathematical Logic Quarterly, 2008AbstractWe study statements about countable and well‐ordered unions and their relation to each other and to countable and well‐ordered forms of the axiom of choice. Using WO as an abbreviation for “well‐orderable”, here are two typical results: The assertion that every WO family of countable sets has a WO union does not imply that every countable ...
Omar De La Cruz +2 more
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RUSSELL'S ALTERNATIVE TO THE AXIOM OF CHOICE
Zeitschrift Für Mathematische Logik Und Grundlagen Der Mathematik, 1992AbstractWe prove the independence of some weakenings of the axiom of choice related to the question if the unions of wellorderable families of wellordered sets are wellorderable.
Norbert Brunner
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The Axiom of Choice in Quantum Theory
Mathematical Logic Quarterly, 1996AbstractWe construct peculiar Hilbert spaces from counterexamples to the axiom of choice. We identify the intrinsically effective Hamiltonians with those observables of quantum theory which may coexist with such spaces. Here a self adjoint operator is intrinsically effective if and only if the Schrödinger equation of its generated semigroup is soluble ...
Matthias Baaz +2 more
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1991
AbstractIn § 9.4 a principle — the axiom of countable choice — was introduced which differed from the axioms of this book's default theory because it asserted the existence of a set of a particular sort (actually, in this case, a sequence) without supplying a condition that characterizes it uniquely.
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AbstractIn § 9.4 a principle — the axiom of countable choice — was introduced which differed from the axioms of this book's default theory because it asserted the existence of a set of a particular sort (actually, in this case, a sequence) without supplying a condition that characterizes it uniquely.
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